The date!

After micronizing Miriya spends some time just wandering around the ship. Several times she catches the eye of a certain ace pilot, Maximilliam Sterling. "Nice" he says.
Sterling is a certifiable piloting "jenius". He was only just put in the ranks under the newly appointed Rick Hunter. Max kicks some serious ass. So much ass that he attracks the attention of the Zentraedi. Word of him reaches their ace, Miriya, and she tracks him down for a mano a WOmano fight. His superior, seeing that the enemy has targeted him, tells him to retreat. Thus his victory is not complete.

So Miriya is wandering around Macross city, having been deposited there by one of the Zentraedi. Finally she meets Max in a video arcade. She is raking up major coinage by beating the game she is playing. She is making even more than Max, who has just been bragging to Rick about how easy it is for him to beat video games. naturally he is impressed by her skill- and of course her beauty. Max has a strange way with women, and to get a date challenges her to a game.
During the game Miriya flashes back to her former fight with Max, and realizes who he is. Startled by a second defeat,and offended because he says the game wasn't too tough, she tries to run in shame. Max quickly asks her for a date before she runs away.
	Twice defeated by a micronian (and the way she says 'micronian tells you how disgusting they seem to her) Miriya is severly "put out" to put it gently. Especially because of Max's off-handed ease with which he beat her the second time. It's infuriating.
On their date Max waits for Miriya in the park, hoping his yet unamed dream girl will show up. She does, with a big surprise- a knife pointed at him! They fight one last time- three being the charm. He defeats her once more and she, totally ashamed, asks him to kill her. From here on it gets a little cheesy, but I attribute that to American translation.

Max is STILL totally in love with her- though she tried to kill him, so he doesn't kill her. Instead he tells her he loves her and what love is. Miriya, already confused that he did not kill her, is astounded by what he is saying. She is totally won over by his declaration of an emotion she did not know existed. She did not even know what emotion was. She accepts his love and they agree to get married.